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9372109968 = 24331323141101
BaseRepresentation
bin10001011101001111…
…10000110010010000
3220012011021111221000
420232213300302100
5123143230004333
64145552502000
7451151422524
oct105647606220
926164244830
109372109968
113a7a347a31
12199684a900
13b648a8100
1464c9d9d84
1539cbd1713
hex22e9f0c90

9372109968 has 480 divisors, whose sum is σ = 31108008960. Its totient is φ = 2695680000.

The previous prime is 9372109961. The next prime is 9372109969. The reversal of 9372109968 is 8699012739.

It is a super-2 number, since 2×93721099682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9372109961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92793118 + ... + 92793218.

It is an arithmetic number, because the mean of its divisors is an integer number (64808352).

Almost surely, 29372109968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9372109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554004480).

9372109968 is an abundant number, since it is smaller than the sum of its proper divisors (21735898992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9372109968 is a wasteful number, since it uses less digits than its factorization.

9372109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9372109968 is about 96809.6584437731. The cubic root of 9372109968 is about 2108.3649701068.

The spelling of 9372109968 in words is "nine billion, three hundred seventy-two million, one hundred nine thousand, nine hundred sixty-eight".